Question

The average of 7 consecutive odd numbers is 97. What is the smallest number
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Answer 1

Step-by-step explanation:

The average of 7 consecutive odd numbers is 23. So their total is 7*23 = 161.

Let the numbers be x-6, x-4, x-2, x , x+2, x+4, x+6. Their sum

x-6+ x-4+ x-2+ x + x+2+ x+4+ x+6 = 161, or

7x = 161, or

x = 23. So the 7 numbers are

17, 19, 21, 23, 25, 27 and 29.